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21332224396 = 2274173457557
BaseRepresentation
bin10011110111011111…
…111110100110001100
32001001200100021120001
4103313133332212030
5322142022140041
613444435334044
71353426626020
oct236737764614
961050307501
1021332224396
119057536a1a
124174151324
13201c6b61b2
1410651d4380
1584cbc4131
hex4f77fe98c

21332224396 has 96 divisors (see below), whose sum is σ = 44480403072. Its totient is φ = 8762204160.

The previous prime is 21332224387. The next prime is 21332224423. The reversal of 21332224396 is 69342223312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38298150 + ... + 38298706.

It is an arithmetic number, because the mean of its divisors is an integer number (463337532).

Almost surely, 221332224396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332224396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240201536).

21332224396 is an abundant number, since it is smaller than the sum of its proper divisors (23148178676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21332224396 is a wasteful number, since it uses less digits than its factorization.

21332224396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1137 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

The spelling of 21332224396 in words is "twenty-one billion, three hundred thirty-two million, two hundred twenty-four thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 41 73 82 146 164 287 292 457 511 557 574 914 1022 1114 1148 1828 2044 2228 2993 3199 3899 5986 6398 7798 11972 12796 15596 18737 20951 22837 33361 37474 40661 41902 45674 66722 74948 81322 83804 91348 131159 133444 159859 162644 233527 254549 262318 284627 319718 467054 509098 524636 569254 639436 934108 1018196 1138508 1367801 1667101 1781843 2735602 3334202 3563686 5471204 6668404 7127372 9574607 10436509 11669707 18582077 19149214 20873018 23339414 37164154 38298428 41746036 46678828 73055563 74328308 130074539 146111126 260149078 292222252 520298156 761865157 1523730314 3047460628 5333056099 10666112198 21332224396